Graduate Mathematical Physics, with MATHEMATICA Supplements

James J. Kelly3527406379, 9783527406371, 9783527618903

This up-to-date textbook on mathematical methods of physics is designed for a one-semester graduate or two-semester advanced undergraduate course. The formal methods are supplemented by applications that use MATHEMATICA to perform both symbolic and numerical calculations.
The book is written by a physicist lecturer who knows the difficulties involved in applying mathematics to real problems. As many as 40 exercises are included at the end of each chapter. A student CD includes a basic introduction to MATHEMATICA, notebook files for each chapter, and solutions to selected exercises.
Free solutions manual available for lecturers at [email protected].

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Table of contents :
Cover Page……Page 1
Title Page……Page 4
ISBN 3527406379……Page 5
Preface……Page 6
Contents……Page 7
Note to the Reader……Page 14
1 Analytic Functions……Page 16
2 Integration……Page 80
3 Asymptotic Series……Page 110
4 Generalized Functions……Page 126
5 Integral Transforms……Page 140
6 Analytic Continuation and Dispersion Relations……Page 206
7 Sturm–Liouville Theory……Page 238
8 Legendre and Bessel Functions……Page 282
9 Boundary-Value Problems……Page 342
10 Group Theory……Page 384
11 Bibliography……Page 474
Index……Page 476